<TeXmacs|2.1.1>

<style|<tuple|generic|chinese|doc>>

<\body>
  <doc-data|<doc-title|2022\<#5E74\>\<#666E\>\<#901A\>\<#9AD8\>\<#7B49\>\<#5B66\>\<#6821\>\<#62DB\>\<#751F\>\<#5168\>\<#56FD\>\<#7EDF\>\<#4E00\>\<#8003\>\<#8BD5\>>|<doc-subtitle|<with|font|AR
  PL UMing CN|font-base-size|16|\<#6570\><space|2em>\<#5B66\>>>>

  <space|2em>\<#672C\>\<#8BD5\>\<#9898\>\<#5377\>\<#5206\>\<#9009\>\<#62E9\>\<#9898\>\<#548C\>\<#975E\>\<#9009\>\<#62E9\>\<#9898\>\<#4E24\>\<#90E8\>\<#5206\>\<#3002\>\<#5168\>\<#5377\>\<#5171\>4\<#9875\>\<#FF0C\>\<#9009\>\<#62E9\>\<#9898\>\<#90E8\>\<#5206\>1\<#81F3\>3\<#9875\>\<#FF1B\>\<#975E\>\<#9009\>\<#62E9\>\<#9898\>\<#90E8\>\<#5206\>3\<#81F3\>4\<#9875\>\<#3002\>\<#6EE1\>\<#5206\>150\<#5206\>\<#FF0C\>\<#8003\>\<#8BD5\>\<#65F6\>\<#95F4\>120\<#5206\>\<#949F\>\<#3002\>

  \;

  <strong|\<#8003\>\<#751F\>\<#6CE8\>\<#610F\>\<#FF1A\>>

  <\enumerate>
    <item>\<#7B54\>\<#9898\>\<#524D\>\<#FF0C\>\<#8BF7\>\<#52A1\>\<#5FC5\>\<#5C06\>\<#81EA\>\<#5DF1\>\<#7684\>\<#59D3\>\<#540D\>\<#3001\>\<#51C6\>\<#8003\>\<#8BC1\>\<#53F7\>\<#7528\>\<#9ED1\>\<#8272\>\<#5B57\>\<#8FF9\>\<#7684\>\<#7B7E\>\<#5B57\>\<#7B14\>\<#6216\>\<#94A2\>\<#7B14\>\<#5206\>\<#522B\>\<#586B\>\<#5199\>\<#5728\>\<#8BD5\>\<#9898\>\<#5377\>\<#548C\>\<#7B54\>\<#9898\>\<#7EB8\>\<#89C4\>\<#5B9A\>\<#7684\>\<#4F4D\>\<#7F6E\>\<#4E0A\>\<#3002\>

    <item>\<#7B54\>\<#9898\>\<#65F6\>\<#FF0C\>\<#8BF7\>\<#6309\>\<#7167\>\<#7B54\>\<#9898\>\<#7EB8\>\<#4E0A\>\P\<#6CE8\>\<#610F\>\<#4E8B\>\<#9879\>\Q\<#7684\>\<#8981\>\<#6C42\>\<#FF0C\>\<#5728\>\<#7B54\>\<#9898\>\<#7EB8\>\<#76F8\>\<#5E94\>\<#7684\>\<#4F4D\>\<#7F6E\>\<#4E0A\>\<#89C4\>\<#8303\>\<#4F5C\>\<#7B54\>\<#FF0C\>\<#5728\>\<#672C\>\<#8BD5\>\<#9898\>\<#5377\>\<#4E0A\>\<#7684\>\<#4F5C\>\<#7B54\>\<#4E00\>\<#5F8B\>\<#65E0\>\<#6548\>\<#3002\>
  </enumerate>

  \;

  <\with|par-columns|2>
    <strong|\<#53C2\>\<#8003\>\<#516C\>\<#5F0F\>\<#FF1A\>>

    \<#82E5\>\<#4E8B\>\<#4EF6\>A,B\<#4E92\>\<#65A5\>\<#FF0C\>\<#5219\>

    <math|P<around*|(|A+B|)>=P<around*|(|A|)>+P<around*|(|B|)>>

    \<#82E5\>\<#4E8B\>\<#4EF6\>A,B\<#76F8\>\<#4E92\>\<#72EC\>\<#7ACB\>\<#FF0C\>\<#5219\>

    <math|P<around*|(|AB|)>=P<around*|(|A|)>*P<around*|(|B|)>>

    \<#82E5\>\<#4E8B\>\<#4EF6\>A\<#5728\>\<#4E00\>\<#6B21\>\<#8BD5\>\<#9A8C\>\<#4E2D\>\<#53D1\>\<#751F\>\<#7684\>\<#6982\>\<#7387\>\<#662F\><math|p>\<#FF0C\>\<#5219\><math|n>\<#6B21\>\<#72EC\>\<#7ACB\>\<#91CD\>\<#590D\>\<#8BD5\>\<#9A8C\>\<#4E2D\>\<#4E8B\>\<#4EF6\><math|A>\<#6070\>\<#597D\>\<#53D1\>\<#751F\><math|k>\<#6B21\>\<#7684\>\<#6982\>\<#7387\>

    <math|P<rsub|n><around*|(|k|)>=C<rsup|k><rsub|n>*p<rsup|k><around*|(|1-p|)><rsup|n-k><around*|(|k=0,1,2,\<ldots\>,n|)>>

    \<#53F0\>\<#4F53\>\<#7684\>\<#4F53\>\<#79EF\>\<#516C\>\<#5F0F\>

    <math|V=<frac|1|3><around*|(|S<rsub|1>+<sqrt|S<rsub|1>S<rsub|2>>+S<rsub|2>|)>*h>

    \<#5176\>\<#4E2D\><math|S<rsub|1>>,<math|S<rsub|2>>\<#5206\>\<#522B\>\<#8868\>\<#793A\>\<#53F0\>\<#4F53\>\<#7684\>\<#4E0A\>\<#3001\>\<#4E0B\>\<#5E95\>\<#9762\>\<#79EF\>\<#FF0C\><math|h>\<#8868\>\<#793A\>\<#53F0\>\<#4F53\>\<#7684\>\<#9AD8\>

    \<#67F1\>\<#4F53\>\<#7684\>\<#4F53\>\<#79EF\>\<#516C\>\<#5F0F\>

    <math|V=S*h>

    \<#5176\>\<#4E2D\><math|S>\<#8868\>\<#793A\>\<#67F1\>\<#4F53\>\<#7684\>\<#5E95\>\<#9762\>\<#79EF\>\<#FF0C\>h\<#8868\>\<#793A\>\<#67F1\>\<#4F53\>\<#7684\>\<#9AD8\>

    \<#9525\>\<#4F53\>\<#7684\>\<#4F53\>\<#79EF\>\<#516C\>\<#5F0F\>

    <math|V=<frac|1|3>S*h>

    \<#5176\>\<#4E2D\><math|S>\<#8868\>\<#793A\>\<#9525\>\<#4F53\>\<#7684\>\<#5E95\>\<#9762\>\<#79EF\>\<#FF0C\><math|h>\<#8868\>\<#793A\>\<#9525\>\<#4F53\>\<#7684\>\<#9AD8\>

    \<#7403\>\<#7684\>\<#8868\>\<#9762\>\<#79EF\>\<#516C\>\<#5F0F\>

    <math|S=4*\<pi\>*R<rsup|2>>

    \<#7403\>\<#7684\>\<#4F53\>\<#79EF\>\<#516C\>\<#5F0F\>

    <math|V=<frac|4|3>*\<pi\>*R<rsup|3>>

    \<#5176\>\<#4E2D\><math|R>\<#8868\>\<#793A\>\<#7403\>\<#7684\>\<#534A\>\<#5F84\>
  </with>

  \;

  \;

  <\with|par-mode|center>
    <strong|<with|font|AR PL UMing CN|font-base-size|14|\<#9009\>\<#62E9\>\<#9898\>\<#90E8\>\<#5206\>\<#FF08\>\<#5171\>40\<#5206\>\<#FF09\>>>
  </with>

  \;

  <strong|\<#4E00\>\<#3001\>\<#9009\>\<#62E9\>\<#9898\>\<#FF1A\>\<#672C\>\<#5927\>\<#9898\>\<#5171\>10\<#5C0F\>\<#9898\>\<#FF0C\>\<#6BCF\>\<#5C0F\>\<#9898\>4\<#5206\>\<#FF0C\>\<#5171\>40\<#5206\>\<#3002\>\<#5728\>\<#6BCF\>\<#5C0F\>\<#9898\>\<#7ED9\>\<#51FA\>\<#7684\>\<#56DB\>\<#4E2A\>\<#9009\>\<#9879\>\<#4E2D\>\<#FF0C\>\<#53EA\>\<#6709\>\<#4E00\>\<#9879\>\<#662F\>\<#7B26\>\<#5408\>\<#9898\>\<#76EE\>\<#8981\>\<#6C42\>\<#7684\>\<#3002\>>

  <\enumerate>
    <item>\<#8BBE\>\<#96C6\>\<#5408\><math|A=<around*|{|1,2|}>,B=<around*|{|2,4,6|}>>\<#FF0C\>\<#5219\><math|A\<cup\>B=>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. <math|2>
      </cell>|<\cell>
        B. <math|<around*|{|1,2|}>>
      </cell>|<\cell>
        C. <math|<around*|{|2,4,6|}>>
      </cell>|<\cell>
        D. <math|<around*|{|1,2,4,6|}>>
      </cell>>>>
    </wide-tabular>

    <item>\<#5DF2\>\<#77E5\><math|a,b\<in\>\<bbb-R\>,a+3*i=<around*|(|b+i|)>*i>\<#FF08\><math|i>\<#4E3A\>\<#865A\>\<#6570\>\<#5355\>\<#4F4D\>\<#FF09\>\<#FF0C\>\<#5219\>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. <math|a=1,b=-3>
      </cell>|<\cell>
        B. <math|a=-1,b=3>
      </cell>|<\cell>
        C. <math|a=-1,b=-3>
      </cell>|<\cell>
        D. <math|a=1,b=3>
      </cell>>>>
    </wide-tabular>

    <item>\<#82E5\>\<#5B9E\>\<#6570\><math|x,y>\<#6EE1\>\<#8DB3\>\<#7EA6\>\<#675F\>\<#6761\>\<#4EF6\><math|<choice|<tformat|<table|<row|<cell|x-2\<geqslant\>0,>>|<row|<cell|2*x+y-7\<leqslant\>0,>>|<row|<cell|x-y-2\<leqslant\>0,>>>>>>\<#5219\><math|z=3*x+4*y>\<#7684\>\<#6700\>\<#5927\>\<#503C\>\<#662F\>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. <math|20>
      </cell>|<\cell>
        B. <math|18>
      </cell>|<\cell>
        C. <math|13>
      </cell>|<\cell>
        D. <math|6>
      </cell>>>>
    </wide-tabular>

    <item>\<#8BBE\><math|x\<in\>\<bbb-R\>>\<#FF0C\>\<#5219\>\<#201C\><math|sin
    x=1>\<#201D\>\<#662F\>\<#201C\><math|cos x=0>\<#201D\>\<#7684\>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. \<#5145\>\<#5206\>\<#4E0D\>\<#5FC5\>\<#8981\>\<#6761\>\<#4EF6\>
      </cell>>|<row|<\cell>
        B. \<#5FC5\>\<#8981\>\<#4E0D\>\<#5145\>\<#5206\>\<#6761\>\<#4EF6\>
      </cell>>|<row|<\cell>
        C. \<#5145\>\<#5206\>\<#5FC5\>\<#8981\>\<#6761\>\<#4EF6\>
      </cell>>|<row|<\cell>
        D. \<#65E2\>\<#4E0D\>\<#5145\>\<#5206\>\<#4E5F\>\<#4E0D\>\<#5FC5\>\<#8981\>\<#6761\>\<#4EF6\>
      </cell>>>>
    </wide-tabular>

    <item>\<#67D0\>\<#51E0\>\<#4F55\>\<#4F53\>\<#7684\>\<#4E09\>\<#89C6\>\<#56FE\>\<#5982\>\<#56FE\>\<#6240\>\<#793A\>\<#FF08\>\<#5355\>\<#4F4D\>\<#FF1A\>cm\<#FF09\>\<#FF0C\>\<#5219\>\<#8BE5\>\<#51E0\>\<#4F55\>\<#4F53\>\<#7684\>\<#4F53\>\<#79EF\>\<#FF08\>\<#5355\>\<#4F4D\>\<#FF1A\><math|cm<rsup|3>>\<#FF09\>\<#662F\>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. <math|22\<pi\>>
      </cell>|<\cell>
        B. <math|8\<pi\>>
      </cell>>|<row|<\cell>
        C. <math|<frac|22|3>\<pi\>>
      </cell>|<\cell>
        D. <math|<frac|16|3>\<pi\>>
      </cell>>>>
    </wide-tabular>

    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    <item>\<#4E3A\>\<#4E86\>\<#5F97\>\<#5230\>\<#51FD\>\<#6570\><math|y=2*sin
    3*x>\<#7684\>\<#56FE\>\<#8C61\>\<#FF0C\>\<#53EA\>\<#8981\>\<#628A\>\<#51FD\>\<#6570\><math|y=2*sin<around*|(|3*x+<frac|\<pi\>|5>|)>>\<#56FE\>\<#8C61\>\<#4E0A\>\<#6240\>\<#6709\>\<#7684\>\<#70B9\>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. \<#5411\>\<#5DE6\>\<#5E73\>\<#79FB\><math|<frac|\<pi\>|5>>\<#4E2A\>\<#5355\>\<#4F4D\>\<#957F\>\<#5EA6\>
      </cell>|<\cell>
        B. \<#5411\>\<#53F3\>\<#5E73\>\<#79FB\><math|<frac|\<pi\>|5>>\<#4E2A\>\<#5355\>\<#4F4D\>\<#957F\>\<#5EA6\>
      </cell>>|<row|<\cell>
        C. \<#5411\>\<#5DE6\>\<#5E73\>\<#79FB\><math|<frac|\<pi\>|15>>\<#4E2A\>\<#5355\>\<#4F4D\>\<#957F\>\<#5EA6\>
      </cell>|<\cell>
        D. \<#5411\>\<#53F3\>\<#5E73\>\<#79FB\><math|<frac|\<pi\>|15>>\<#4E2A\>\<#5355\>\<#4F4D\>\<#957F\>\<#5EA6\>
      </cell>>>>
    </wide-tabular>

    <item>\<#5DF2\>\<#77E5\><math|2<rsup|a>=5,log<rsub|8>3=b>\<#FF0C\>\<#5219\><math|4<rsup|a-3b>=>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. <math|25>
      </cell>|<\cell>
        B. <math|5>
      </cell>>|<row|<\cell>
        C. <math|<frac|25|9>>
      </cell>|<\cell>
        D. <math|<frac|5|3>>
      </cell>>>>
    </wide-tabular>

    <item>\<#5982\>\<#56FE\>\<#FF0C\>\<#5DF2\>\<#77E5\>\<#6B63\>\<#4E09\>\<#68F1\>\<#67F1\><math|ABC-A<rsub|1>B<rsub|1>C<rsub|1>,AC=AA<rsub|1>>\<#FF0C\><math|E,F>\<#5206\>\<#522B\>\<#662F\>\<#68F1\><math|BC>\<#FF0C\><math|A<rsub|1>C<rsub|1>>\<#4E0A\>\<#7684\>\<#70B9\>.\<#8BB0\><math|EF>\<#4E0E\><math|AA<rsub|1>>\<#6240\>\<#6210\>\<#7684\>\<#89D2\>\<#4E3A\><math|\<alpha\>>\<#FF0C\><math|EF>\<#4E0E\>\<#5E73\>\<#9762\><math|ABC>\<#6240\>\<#6210\>\<#7684\>\<#89D2\>\<#4E3A\><math|\<beta\>>\<#FF0C\>\<#4E8C\>\<#9762\>\<#89D2\><math|F-BC-A>\<#7684\>\<#5E73\>\<#9762\>\<#89D2\>\<#4E3A\><math|\<gamma\>>\<#FF0C\>\<#5219\>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. <math|\<alpha\>\<leqslant\>\<beta\>\<leqslant\>\<gamma\>>
      </cell>|<\cell>
        B. <math|\<beta\>\<leqslant\>\<alpha\>\<leqslant\>\<gamma\>>
      </cell>>|<row|<\cell>
        C. <math|\<beta\>\<leqslant\>\<gamma\>\<less\>\<alpha\>>
      </cell>|<\cell>
        D. <math|\<alpha\>\<leqslant\>\<gamma\>\<less\>\<beta\>>
      </cell>>>>
    </wide-tabular>

    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|zj_gaokao_8.png>||120pt||>

    <item>\<#5DF2\>\<#77E5\><math|a,b\<in\>\<bbb-R\>>\<#FF0C\>\<#82E5\>\<#5BF9\>\<#4EFB\>\<#610F\><math|x\<in\>\<bbb-R\>>\<#FF0C\><math|a*<around*|\||x-b|\|>+<around*|\||x-4|\|>-<around*|\||2*x-5|\|>\<geqslant\>0>\<#FF0C\>\<#5219\>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. <math|a\<leqslant\>1,b\<geqslant\>3>
      </cell>|<\cell>
        B. <math|a\<leqslant\>1,b\<leqslant\>3>
      </cell>>|<row|<\cell>
        C. <math|a\<geqslant\>1,b\<geqslant\>3>
      </cell>|<\cell>
        D. <math|a\<geqslant\>1,b\<leqslant\>3>
      </cell>>>>
    </wide-tabular>

    <item>\<#5DF2\>\<#77E5\>\<#6570\>\<#5217\><math|<around*|{|a<rsub|n>|}>>\<#6EE1\>\<#8DB3\><with|math-display|true|<math|a<rsub|1>=1,a<rsub|n+1>=a<rsub|n>-<frac|1|3>a<rsub|n><rsup|2><around*|(|n\<in\>\<bbb-N\><rsup|\<ast\>>|)>>>\<#FF0C\>\<#5219\>

    <\wide-tabular>
      <tformat|<table|<row|<\cell>
        A. <math|<with|math-display|true|2\<less\>100*a<rsub|100>\<less\><frac|5|2>>>
      </cell>|<\cell>
        B. <with|math-display|true|<math|<frac|5|2>\<less\>100*a<rsub|100>\<less\>3>>
      </cell>>|<row|<\cell>
        C. <with|math-display|true|<math|3\<less\>100*a<rsub|100>\<less\><frac|7|2>>>
      </cell>|<\cell>
        D. <math|<with|math-display|true|<frac|7|2>\<less\>100*a<rsub|100>\<less\>4>>
      </cell>>>>
    </wide-tabular>
  </enumerate>

  \;

  \;

  \;

  <\with|par-mode|center>
    <strong|<\with|font|AR PL UMing CN|font-base-size|14>
      \<#975E\>\<#9009\>\<#62E9\>\<#9898\>\<#90E8\>\<#5206\>\<#FF08\>\<#5171\>110\<#5206\>\<#FF09\>
    </with>>
  </with>

  \;

  <strong|\<#4E8C\>\<#3001\>\<#586B\>\<#7A7A\>\<#9898\>\<#FF1A\>\<#672C\>\<#5927\>\<#9898\>\<#5171\>7\<#5C0F\>\<#9898\>\<#FF0C\>\<#5355\>\<#7A7A\>\<#9898\>\<#6BCF\>\<#9898\>4\<#5206\>\<#FF0C\>\<#591A\>\<#7A7A\>\<#9898\>\<#6BCF\>\<#7A7A\>3\<#5206\>\<#FF0C\>\<#5171\>36\<#5206\>\<#3002\>>

  <\enumerate>
    <assign|item-nr|10><item>\<#6211\>\<#56FD\>\<#5357\>\<#5B8B\>\<#8457\>\<#540D\>\<#6570\>\<#5B66\>\<#53EB\>\<#79E6\>\<#4E5D\>\<#97F6\>\<#FF0C\>\<#53D1\>\<#73B0\>\<#4E86\>\<#4ECE\>\<#4E09\>\<#89D2\>\<#5F62\>\<#4E09\>\<#8FB9\>\<#6C42\>\<#9762\>\<#79EF\>\<#7684\>\<#516C\>\<#5F0F\>\<#FF0C\>\<#4ED6\>\<#628A\>\<#8FD9\>\<#79CD\>\<#65B9\>\<#6CD5\>\<#79F0\>\<#4E3A\>\<#201C\>\<#4E09\>\<#659C\>\<#6C42\>\<#79EF\>\<#201D\>\<#FF0C\>\<#5B83\>\<#586B\>\<#8865\>\<#4E86\>\<#6211\>\<#56FD\>\<#4F20\>\<#7EDF\>\<#6570\>\<#5B66\>\<#7684\>\<#4E00\>\<#4E2A\>\<#7A7A\>\<#767D\>.
    \<#5982\>\<#679C\>\<#628A\>\<#8FD9\>\<#4E2A\>\<#65B9\>\<#6CD5\>\<#5199\>\<#6210\>\<#516C\>\<#5F0F\>\<#FF0C\>\<#5C31\>\<#662F\><math|<with|math-display|true|S=<sqrt|<frac|1|4><around*|[|c<rsup|2>a<rsup|2>-<around*|(|<frac|c<rsup|2>+a<rsup|2>-b<rsup|2>|2>|)><rsup|2>|]>>>>\<#FF0C\>\<#5176\>\<#4E2D\><math|a,b,c>\<#662F\>\<#4E09\>\<#89D2\>\<#5F62\>\<#7684\>\<#4E09\>\<#8FB9\>\<#FF0C\><math|S>\<#662F\>\<#4E09\>\<#89D2\>\<#5F62\>\<#7684\>\<#9762\>\<#79EF\>.
    \<#8BBE\>\<#67D0\>\<#4E09\>\<#89D2\>\<#5F62\>\<#7684\>\<#4E09\>\<#8FB9\><math|a=<sqrt|2>,b=<sqrt|3>,c=2>\<#FF0C\>\<#5219\>\<#8BE5\>\<#4E09\>\<#89D2\>\<#5F62\>\<#7684\>\<#9762\>\<#79EF\><math|S=><underline|<space|3em>>.

    <item>\<#5DF2\>\<#77E5\>\<#591A\>\<#9879\>\<#5F0F\><math|<with|math-display|true|<around*|(|x+2|)><around*|(|x-1|)><rsup|4>=a<rsub|0>+a<rsub|1>*x+a<rsub|2>*x<rsup|2>+a<rsub|3>*x<rsup|3>+a<rsub|4>*x<rsup|4>+a<rsub|5>*x<rsup|5>>>\<#FF0C\>\<#5219\><math|a<rsub|2>=><underline|<space|3em>>,<math|a<rsub|1>+a<rsub|2>+a<rsub|3>+a<rsub|4>+a<rsub|5>=><underline|<space|3em>>.

    <item>\<#82E5\><math|<with|math-display|true|3*sin \<alpha\>-sin
    \<beta\>=<sqrt|10>,\<alpha\>+\<beta\>=<frac|\<pi\>|2>>>\<#FF0C\>\<#5219\><math|sin
    \<alpha\>=><underline|<space|3em>>\<#FF0C\><math|cos
    2*\<beta\>=><underline|<space|3em>>.

    <item>\<#5DF2\>\<#77E5\>\<#51FD\>\<#6570\><math|<with|math-display|true|f<around*|(|x|)>=<choice|<tformat|<table|<row|<cell|-x<rsup|2>+2,>|<cell|x\<leqslant\>1,>>|<row|<cell|x+<frac|1|x>-1,>|<cell|x\<gtr\>1,>>>>>>>\<#5219\><math|f<around*|(|f<around*|(|<frac|1|2>|)>|)>=><underline|<space|3em>>\<#FF1B\>\<#82E5\>\<#5F53\><math|x\<in\><around*|[|a,b|]>>\<#65F6\>\<#FF0C\><math|1\<leqslant\>f<around*|(|x|)>\<leqslant\>3>\<#FF0C\>\<#5219\><math|b-a>\<#7684\>\<#6700\>\<#5927\>\<#503C\>\<#662F\><underline|<space|3em>>.

    <item>\<#73B0\>\<#6709\> 7 \<#5F20\>\<#5361\>\<#7247\>\<#FF0C\>\<#5206\>\<#522B\>\<#5199\>\<#4E0A\>\<#6570\>\<#5B57\>1,2,3,4,5,6.
    \<#4ECE\>\<#8FD9\>7\<#5F20\>\<#5361\>\<#7247\>\<#4E2D\>\<#968F\>\<#673A\>\<#62BD\>\<#53D6\>3\<#5F20\>\<#FF0C\>\<#8BB0\>\<#6240\>\<#62BD\>\<#53D6\>\<#5361\>\<#7247\>\<#4E0A\>\<#6570\>\<#5B57\>\<#7684\>\<#6700\>\<#5C0F\>\<#503C\>\<#4E3A\><math|\<xi\>>\<#FF0C\>\<#5219\><math|P<around*|(|\<xi\>=2|)>=><underline|<space|3em>>\<#FF0C\><math|E<around*|(|\<xi\>|)>=><underline|<space|3em>>.

    <item>\<#5DF2\>\<#77E5\>\<#53CC\>\<#66F2\>\<#7EBF\><math|<with|math-display|true|<frac|x<rsup|2>|a<rsup|2>>-<frac|y<rsup|2>|b<rsup|2>>=1<around*|(|a\<gtr\>0,b\<gtr\>0|)>>>\<#7684\>\<#5DE6\>\<#7126\>\<#70B9\>\<#4E3A\><math|F>\<#FF0C\>\<#8FC7\><math|F>\<#4E14\>\<#659C\>\<#7387\>\<#4E3A\><math|<with|math-display|true|<frac|b|4a>>>\<#7684\>\<#76F4\>\<#7EBF\>\<#4EA4\>\<#53CC\>\<#66F2\>\<#7EBF\>\<#4E8E\>\<#70B9\><math|A<around*|(|x<rsub|1>,y<rsub|1>|)>>\<#FF0C\>\<#4EA4\>\<#53CC\>\<#66F2\>\<#7EBF\>\<#7684\>\<#6E10\>\<#8FD1\>\<#7EBF\>\<#4E8E\>\<#70B9\><math|B<around*|(|x<rsub|2>,y<rsub|2>|)>>\<#4E14\><math|x<rsub|1>\<less\>0\<less\>x<rsub|2>>.
    \<#82E5\><math|<around*|\||FB|\|>=3*<around*|\||FA|\|>>\<#FF0C\>\<#5219\>\<#53CC\>\<#66F2\>\<#7EBF\>\<#7684\>\<#79BB\>\<#5FC3\>\<#7387\>\<#662F\><underline|<space|3em>>.

    <item>\<#8BBE\>\<#70B9\><math|P>\<#5728\>\<#5355\>\<#4F4D\>\<#5706\>\<#7684\>\<#5185\>\<#63A5\>\<#6B63\>\<#516B\>\<#8FB9\>\<#5F62\><math|A<rsub|1>A<rsub|2>\<ldots\>A<rsub|8>>\<#7684\>\<#8FB9\><math|A<rsub|1>A<rsub|2>>\<#4E0A\>\<#FF0C\>\<#5219\><math|<wide|PA<rsub|1>|\<vect\>><rsup|2>+<wide|PA<rsub|2>|\<vect\>><rsup|2>+\<cdots\>+<wide|PA<rsub|8>|\<vect\>><rsup|2>>\<#7684\>\<#53D6\>\<#503C\>\<#8303\>\<#56F4\>\<#662F\><underline|<space|3em>>.
  </enumerate>

  \;

  \;

  \;

  \;

  \;

  <strong|\<#4E09\>\<#3001\>\<#89E3\>\<#7B54\>\<#9898\>\<#FF1A\>\<#672C\>\<#5927\>\<#9898\>\<#5171\>5\<#5C0F\>\<#9898\>\<#FF0C\>\<#5171\>74\<#5206\>\<#3002\>\<#89E3\>\<#7B54\>\<#5E94\>\<#5199\>\<#51FA\>\<#6587\>\<#5B57\>\<#8BF4\>\<#660E\>\<#3001\>\<#8BC1\>\<#660E\>\<#8FC7\>\<#7A0B\>\<#6216\>\<#6F14\>\<#7B97\>\<#6B65\>\<#9AA4\>\<#3002\>>

  <\enumerate>
    <assign|item-nr|17><item>\<#FF08\>\<#672C\>\<#9898\>\<#6EE1\>\<#5206\>14\<#5206\>\<#FF09\>\<#5728\><math|\<triangle\>ABC>\<#4E2D\>\<#FF0C\>\<#89D2\><math|A,B,C>\<#6240\>\<#5BF9\>\<#7684\>\<#8FB9\>\<#5206\>\<#522B\>\<#4E3A\><math|a,b,c>.
    \<#5DF2\>\<#77E5\><math|4*a=<sqrt|5>*c,cos C=<frac|3|5>>.

    (I) \<#6C42\><math|sin A>\<#7684\>\<#503C\>\<#FF1B\>

    (II) \<#82E5\><math|b=11>\<#FF0C\>\<#6C42\><math|\<triangle\>ABC>\<#7684\>\<#9762\>\<#79EF\>.

    <item>\<#FF08\>\<#672C\>\<#9898\>\<#6EE1\>\<#5206\>15\<#5206\>\<#FF09\>\<#5982\>\<#56FE\>\<#FF0C\>\<#5DF2\>\<#77E5\><math|ABCD>\<#548C\><math|CDEF>\<#90FD\>\<#662F\>\<#76F4\>\<#89D2\>\<#68AF\>\<#5F62\>\<#FF0C\><math|AB//DC,DC//EF,AB=5,DC=3,EF=1,\<angle\>BAD=\<angle\>CDE=60<rsup|\<circ\>>>\<#FF0C\>\<#4E8C\>\<#9762\>\<#89D2\><math|F-DC-B>\<#7684\>\<#5E73\>\<#9762\>\<#89D2\>\<#4E3A\><math|60<rsup|\<circ\>>>\<#FF0C\>\<#8BBE\><math|M>\<#FF0C\><math|N>\<#5206\>\<#522B\>\<#4E3A\><math|AE>\<#FF0C\><math|BC>\<#7684\>\<#4E2D\>\<#70B9\>.

    <\with|par-columns|2>
      (I) \<#8BC1\>\<#660E\>\<#FF1A\><math|FN\<perp\>AD>\<#FF1B\>

      (II) \<#6C42\>\<#76F4\>\<#7EBF\><math|BM>\<#4E0E\>\<#5E73\>\<#9762\><math|ADE>\<#6240\>\<#6210\>\<#89D2\>\<#7684\>\<#6B63\>\<#5F26\>\<#503C\>.

      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|zj_gaokao_19.png>|109pt|94pt||>
    </with>

    <item>\<#FF08\>\<#672C\>\<#9898\>\<#6EE1\>\<#5206\>15\<#5206\>\<#FF09\>\<#5DF2\>\<#77E5\>\<#7B49\>\<#5DEE\>\<#6570\>\<#5217\><math|<around*|{|a<rsub|n>|}>>\<#7684\>\<#9996\>\<#9879\><math|a<rsub|1>=-1>\<#FF0C\>\<#516C\>\<#5DEE\><math|d\<gtr\>1>.
    \<#8BB0\><math|<around*|{|a<rsub|n>|}>>\<#7684\>\<#524D\><math|n>\<#9879\>\<#548C\>\<#4E3A\><math|S<rsub|n><around*|(|n\<in\>\<bbb-N\><rsup|\<ast\>>|)>>.

    (I) \<#82E5\><math|S<rsub|4>-2a<rsub|2>a<rsub|3>+6>\<#FF0C\>\<#6C42\><math|S<rsub|n>>\<#FF1B\>

    (II) \<#82E5\>\<#5BF9\>\<#4E8E\>\<#6BCF\>\<#4E2A\><math|n\<in\>\<bbb-N\><rsup|\<ast\>>>\<#FF0C\>\<#5B58\>\<#5728\>\<#5B9E\>\<#6570\><math|c<rsub|n>>\<#FF0C\>\<#4F7F\><math|a<rsub|n>+c<rsub|n>,a<rsub|n+1>+4*c<rsub|n>,a<rsub|n+2>+15*c<rsub|n>>\<#6210\>\<#7B49\>\<#6BD4\>\<#6570\>\<#5217\>\<#FF0C\>\<#6C42\><math|d>\<#7684\>\<#53D6\>\<#503C\>\<#8303\>\<#56F4\>.

    <item>\<#FF08\>\<#672C\>\<#9898\>\<#6EE1\>\<#5206\>15\<#5206\>\<#FF09\>\<#5982\>\<#56FE\>\<#FF0C\>\<#5DF2\>\<#77E5\>\<#692D\>\<#5706\><with|math-display|true|<math|<frac|x<rsup|2>|12>+y<rsup|2>=1>>.
    \<#8BBE\><math|A,B>\<#662F\>\<#692D\>\<#5706\>\<#4E0A\>\<#5F02\>\<#4E0E\><math|P<around*|(|0,1|)>>\<#7684\>\<#4E24\>\<#70B9\>\<#FF0C\>\<#4E14\>\<#70B9\><math|Q<around*|(|0,<frac|1|2>|)>>\<#5728\>\<#7EBF\>\<#6BB5\><math|AB>\<#4E0A\>\<#FF0C\>\<#76F4\>\<#7EBF\><math|PA,PB>\<#5206\>\<#522B\>\<#4EA4\>\<#76F4\>\<#7EBF\><math|<with|math-display|true|y=-<frac|1|2>x+3>>\<#4E8E\><math|C,D>\<#4E24\>\<#70B9\>.

    <\with|par-columns|2>
      (I) \<#6C42\>\<#70B9\>P\<#5230\>\<#692D\>\<#5706\>\<#4E0A\>\<#70B9\>\<#7684\>\<#8DDD\>\<#79BB\>\<#7684\>\<#6700\>\<#5927\>\<#503C\>\<#FF1B\>

      (II) \<#6C42\><math|<around*|\||CD|\|>>\<#7684\>\<#6700\>\<#5C0F\>\<#503C\>.

      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    </with>

    <item>\<#FF08\>\<#672C\>\<#9898\>\<#6EE1\>\<#5206\>15\<#5206\>\<#FF09\>\<#8BBE\>\<#51FD\>\<#6570\><math|<with|math-display|true|f<around*|(|x|)>=<frac|\<mathe\>|2*x>+ln
    x<around*|(|x\<gtr\>0|)>>>.

    <\enumerate-Roman>
      <item>\<#6C42\><math|f<around*|(|x|)>>\<#7684\>\<#5355\>\<#8C03\>\<#533A\>\<#95F4\>\<#FF1B\>

      <item>\<#5DF2\>\<#77E5\><math|a,b\<in\>\<bbb-R\>>\<#FF0C\>\<#66F2\>\<#7EBF\><math|y=f<around*|(|x|)>>\<#4E0A\>\<#4E0D\>\<#540C\>\<#7684\>\<#4E09\>\<#70B9\><math|<around*|(|x<rsub|1>,f<around*|(|x<rsub|1>|)>|)>,<around*|(|x<rsub|2>,f<around*|(|x<rsub|2>|)>|)>,<around*|(|x<rsub|3>,f<around*|(|x<rsub|3>|)>|)>>\<#5904\>\<#7684\>\<#5207\>\<#7EBF\>\<#90FD\>\<#7ECF\>\<#8FC7\>\<#70B9\><math|<around*|(|a,b|)>>.
      \<#8BC1\>\<#660E\>\<#FF1A\>

      <\enumerate-roman>
        <item>\<#82E5\><math|a\<gtr\>\<mathe\>>\<#FF0C\>\<#5219\><math|<with|math-display|true|0\<less\>b-f<around*|(|a|)>\<less\><frac|1|2><around*|(|<frac|a|e>-1|)>>>\<#FF1B\>

        <item>\<#82E5\><math|0\<less\>a\<less\>\<mathe\>,x<rsub|1>\<less\>x<rsub|2>\<less\>x<rsub|3>>\<#FF0C\>\<#5219\><with|math-display|true|<math|<frac|2|\<mathe\>>+<frac|\<mathe\>-a|6*\<mathe\><rsup|2>>\<less\><frac|1|x<rsub|1>>+<frac|1|x<rsub|3>>\<less\><frac|2|a>-<frac|\<mathe\>-a|6e<rsup|2>>>>.
      </enumerate-roman>
    </enumerate-Roman>

    \<#FF08\>\<#6CE8\>\<#FF1A\><math|e=2.71828\<ldots\>>\<#662F\>\<#81EA\>\<#7136\>\<#5BF9\>\<#6570\>\<#7684\>\<#5E95\>\<#6570\>\<#FF09\>
  </enumerate>

  \;

  <\note*>
    \<#672C\>\<#8BD5\>\<#9898\>\<#7531\>B\<#7AD9\>UP\<#4E3B\><hlink|<strong|\<#6C88\>\<#6D6A\>\<#718A\>\<#732B\>\<#513F\>>|https://space.bilibili.com/28058658>\<#4E8E\>2022\<#5E74\>6\<#6708\>10\<#65E5\>\<#82B1\>\<#8D39\>2\<#5C0F\>\<#65F6\>\<#7EAF\>\<#624B\>\<#5DE5\>\<#8F93\>\<#5165\>\<#5236\>\<#4F5C\>\<#3002\>\<#4E0B\>\<#8F7D\>\<#58A8\>\<#5E72\>\<#7F16\>\<#8F91\>\<#5668\>\<#FF0C\>\<#901A\>\<#8FC7\>\<#83DC\>\<#5355\><menu|help|planet>\<#53EF\>\<#4EE5\>\<#5F97\>\<#5230\>\<#672C\>\<#8BD5\>\<#9898\>\<#7684\>\<#53EF\>\<#7F16\>\<#8F91\>\<#6587\>\<#6863\>\<#3002\>
  </note*>

  \;

  \;
</body>

<\initial>
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